论文标题

晶格QCD的价零食分布:接近连续体

Valence parton distribution of pion from lattice QCD: Approaching continuum

论文作者

Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, Zhao, Yong

论文摘要

我们使用两个非常细的晶格间距$ a = 0.06 $ fm和0.04 fm的质量为300 meV,呈现了TION的价parton分布函数(PDF)的高统计晶格QCD测定。我们使用领先的1环扰动匹配框架重建了$ x $依赖性的PDF,并推断PDF的前几个时刻。我们的分析同时使用基于RI-MOM和基于比率的方案来重新归一量,使其相等的Bi-Local Quark-Birinear矩阵元素的PION元素提高了2.4 GEV Momenta。我们使用各种与模型无关和模型依赖性分析来推断价PDF的巨大$ x $行为。我们还介绍了有关增强的Pion矩阵元素中存在的有关晶格间距和高扭校正的技术研究。

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of $a=0.06$ fm and 0.04 fm. We reconstruct the $x$-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-$x$ behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.

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